Data Sufficiency - Deepa's Age

CMAT 2019 · Logical Reasoning · Medium · Data Sufficiency

In the question below, 3 statements I, II and III are given. You are required to find out which of the given statement(s) is/are sufficient to answer the question.

How old was Deepa on 30th30^{\text{th}} October 2018? I. Deepa is 6 yrs older than her sister Prabha. II. Prabha is 29 yrs younger than her mother. III. Deepa's mother celebrated her 45th45^{\text{th}} birthday on July 27th27^{\text{th}} 2018.

  1. A.

    I and III

  2. B.

    All I, II and III

  3. C.

    I and II

  4. D.

    II and III

Answer

B

Explanation

From III, we get mother's age. From II, using mother's age, we get Prabha's age. From I, using Prabha's age, we get Deepa's age. Thus, all three statements I, II, and III together are necessary.

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